E-Book, Englisch, 150 Seiten, eBook
Kuga Galois’ Dream: Group Theory and Differential Equations
1993
ISBN: 978-1-4612-0329-2
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
Group Theory and Differential Equations
E-Book, Englisch, 150 Seiten, eBook
ISBN: 978-1-4612-0329-2
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
First year, undergraduate, mathematics students in Japan have for many years had the opportunity of a unique experience---an introduction, at an elementary level, to some very advanced ideas in mathematics from one of the leading mathematicians of the world. English reading students now have the opportunity to enjoy this lively presentation, from elementary ideas to cartoons to funny examples, and to follow the mind of an imaginative and creative mathematician into a world of enduring mathematical creations.
Zielgruppe
Research
Weitere Infos & Material
Preface.-Pre-Mathematics.-No Prerequisites.-Sets and Maps.-Equivalence Classes.-The Story of Free Groups.-Heave Ho! (Pull it Tight).-Fundamental Groups of Surfaces.-Fundamental Groups.-Examples of Fundamental Groups.-Examples of Fundamental Groups, Continued.-Men Who Don’t Realize That Their Wives Have Been Interchanged.-Coverings.-Covering surfaces and Fundamental Groups.-Covering Surfaces and Fundamental Groups, Continued.-The Group of Covering Transformations.-Everyone has a Tail.-The Universal Covering Space.-The Correspondence Between Coverings of (D;O) and Subgroups of pi1(D;O).-Seeing Galois Theory.-Continuous Functions of Covering Surfaces.-Solvable or Not?.-Differential Equations.-Elementary methods of Solving Differential Equations.-Regular Singularities.-Differential Equations of Fuchsian Type.-References.-Notation.-Index.
